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1 year ago

WILL MARK BRAINLIEST!!!

Mathematics

2 answers:

Sergeu [11.5K]1 year ago

3 0

Answer:

The answer is the bottom graph on the left. :)

kondor19780726 [428]1 year ago

3 0

Answer:

Bottom left corner.

Step-by-step explanation:

in order to solve this, you just have to evaluate the function when x=0 that means the intersect with Y-axis, so when h(x) = x^3 + 2x^2 - 11x - 12 is evaluated for x=0

y=-12

So the point would be (0,-12)

From the graphs there are two graphs that match this description, now we just have to evaluate the intersect with X, in the bottom left it says that when y=0 x=-4

So we evaluate h(x) = x^3 + 2x^2 - 11x - 12 to x=-4 to see if it equals 0:

$h(x) = x^3 + 2x^2 - 11x - 12\\h(x) = -4^3 + 2(-4)^2 - 11(-4) - 12\\h(x) = -64 +32 +44 - 12\\\\h(x)=0$

As you can see the function equals 0 that means that is the graph of h(x) = x^3 + 2x^2 - 11x - 12

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Zoe and Hannah share tips in the ratio 3:7. Last week, Zoe received £24. How much did Hannah receive last week?

Goshia [24]

Answer:

hannah gets £56

Step-by-step explanation:

z : h

3 : 7

24 : ?

24/3 = 8

8 x 7 = 56

£56

hope this helps

brainliest plz?

8 0

1 year ago

A bicycle is traveling at 20 feet per minute. What is the bicycle's speed expressed in inches per second?

Vikentia [17]

Answer:

4 inches per second

Step-by-step explanation:

Speed = distance/time

Given

Distance = 20 feet

12 inches = 1 foot

X inches = 20 feet

X = 20 x 12 = 240 inches

Time = 1 minute = 60 secs

Therefore

Speed = 240/60

= 4 inches per second

7 0

2 years ago

. Water in a 10 gallon tank is draining at a rate of 2 gallons per hour. Water in a separate tank is filling at a rate of 4 gall

taurus [48]

Answer:

Step-by-step explanation:

Water in a 10 gallon tank is draining at a rate of 2 gallons per hour.

= 10 - 2x

Water in a separate tank is filling at a rate of 4 gallons per hour.

= 10 + 4x

Equating both Equations together

10 - 2x = 10 + 4x

10 - 10 = 4x - 2x

How long until the tanks have the same amount of water?

Let the time = x

7 0

1 year ago

To test whether or not there is a difference between treatments A, B, and C, a sample of 12 observations has been randomly assig

Keith_Richards [23]

Answer:

1. Null hypothesis: $\mu_{A}=\mu_{B}=\mu_{C}$

Alternative hypothesis: Not all the means are equal $\mu_{i}\neq \mu_{j}, i,j=A,B,C$

2. D. 36

3. C. 34

4. B. 1.059

5. B. 8.02

Step-by-step explanation:

Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".

The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"

Part 1

The hypothesis for this case are:

Null hypothesis: $\mu_{A}=\mu_{B}=\mu_{C}$

Alternative hypothesis: Not all the means are equal $\mu_{i}\neq \mu_{j}, i,j=A,B,C$

Part 2

In order to find the mean square between treatments (MSTR), we need to find first the sum of squares and the degrees of freedom.

If we assume that we have $p$ groups and on each group from $j=1,\dots,p$ we have $n_j$ individuals on each group we can define the following formulas of variation:

$SS_{total}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x)^2$

$SS_{between}=SS_{model}=\sum_{j=1}^p n_j (\bar x_{j}-\bar x)^2$

$SS_{within}=SS_{error}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x_j)^2$

And we have this property

$SST=SS_{between}+SS_{within}$

We need to find the mean for each group first and the grand mean.

$\bar X =\frac{\sum_{i=1}^n x_i}{n}$

If we apply the before formula we can find the mean for each group

$\bar X_A = 27$ , $\bar X_B = 24$ , $\bar X_C = 30$ . And the grand mean $\bar X = 27$

Now we can find the sum of squares between:

$SS_{between}=SS_{model}=\sum_{j=1}^p n_j (\bar x_{j}-\bar x)^2$

Each group have a sample size of 4 so then $n_j =4$

$SS_{between}=SS_{model}=4(27-27)^2 +4(24-27)^2 +4(30-27)^2=72$

The degrees of freedom for the variation Between is given by $df_{between}=k-1=3-1=2$ , Where k the number of groups k=3.

Now we can find the mean square between treatments (MSTR) we just need to use this formula:

$MSTR=\frac{SS_{between}}{k-1}=\frac{72}{2}=36$

D. 36

Part 3

For the mean square within treatments value first we need to find the sum of squares within and the degrees of freedom.

$SS_{within}=SS_{error}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x_j)^2$

$SS_{error}=(20-27)^2 +(30-27)^2 +(25-27)^2 +(33-27)^2 +(22-24)^2 +(26-24)^2 +(20-24)^2 +(28-24)^2 +(40-30)^2 +(30-30)^2 +(28-30)^2 +(22-30)^2 =306$

And the degrees of freedom are given by:

$df_{within}=N-k =3*4 -3 = 12-3=9$ . N represent the total number of individuals we have 3 groups each one with a size of 4 individuals. And k the number of groups k=3.

And now we can find the mean square within treatments:

$MSE=\frac{SS_{within}}{N-k}=\frac{306}{9}=34$

C. 34

Part 4

The test statistic F is given by this formula:

$F=\frac{MSTR}{MSE}=\frac{36}{34}=1.059$

B. 1.059

Part 5

The critical value is from a F distribution with degrees of freedom in the numerator of 2 and on the denominator of 9 such that we have 0.01 of the area in the distribution on the right.

And we can use excel to find this critical value with this function:

"=F.INV(1-0.01,2,9)"

And we will see that the critical value is $F_{crit}=8.02$

B. 8.02

5 0

1 year ago

The elevations of three cities in the Netherlands are shown below. Which comparison is true?

Lilit [14]

The correct answer is "Amsterdam is the same distance from sea level as Drachten." Each is two meters from sea level; Amsterdam is 2 meters under, Drachten two meters over.

8 0

1 year ago